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Finding the Third Proportional to 613,155 and 1,340,358

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Solution

The third proportional to 613,155 and 1,340,358 is: 2,930,025.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,155 : 1,340,358 = 1,340,358 : x
  2. Step 2: Convert to fraction form
    613,155/1,340,358 = 1,340,358/x
  3. Step 3: Cross multiply
    613,155x = 1,340,358 × 1,340,358
  4. Step 4: Simplify right side
    613,155x = 1,796,559,568,164
  5. Step 5: Solve for x
    x = 1,796,559,568,164/613,155
  6. Step 6: Final answer
    x = 2,930,025.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.